A note on S-asymptotically periodic functions


Autoria(s): NICOLA, Selma H. J.; PIERRI, Michelle
Contribuinte(s)

UNIVERSIDADE DE SÃO PAULO

Data(s)

19/10/2012

19/10/2012

2009

Resumo

In [Haiyin Gao, Ke Wang, Fengying Wei, Xiaohua Ding, Massera-type theorem and asymptotically periodic Logistic equations, Nonlinear Analysis: Real World Applications 7 (2006) 1268-1283, Lemma 2.1] it is established that a scalar S-asymptotically to-periodic function (that is, a continuous and bounded function f : [0, infinity) -> R such that lim(t ->infinity)(f (t + omega) - f (t)) = 0) is asymptotically omega-periodic. In this note we give two examples to show that this assertion is false. (C) 2008 Elsevier Ltd. Ail rights reserved.

CNPq, Brasil

Identificador

NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS, v.10, n.5, p.2937-2938, 2009

1468-1218

http://producao.usp.br/handle/BDPI/20665

10.1016/j.nonrwa.2008.09.011

http://dx.doi.org/10.1016/j.nonrwa.2008.09.011

Idioma(s)

eng

Publicador

PERGAMON-ELSEVIER SCIENCE LTD

Relação

Nonlinear Analysis-real World Applications

Direitos

restrictedAccess

Copyright PERGAMON-ELSEVIER SCIENCE LTD

Palavras-Chave #Almost periodic function #Asymptotically almost periodic function #Mathematics, Applied
Tipo

article

original article

publishedVersion